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Some generalizations of the Eisenstein criterion

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Abstract

We obtain a generalized Eisenstein criterion for a certain class of ℤ-graded rings and for rings of skew polynomials A[x, σ], where A is a commutative integral domain with unique factorization into prime factors.

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Literature cited

  1. B. L. Van der Waerden, Algebra, Ungar Publ., New York (1974).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 7, pp. 983–985, July 1990.

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Bavula, V.V. Some generalizations of the Eisenstein criterion. Ukr Math J 42, 873–875 (1990). https://doi.org/10.1007/BF01062095

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  • DOI: https://doi.org/10.1007/BF01062095

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